Dr. A P J Abdul Kalam Technological University / Kerala Technological university KTU First year (S1 S2) B.tech Syllabus for ENGINEERING MECHANICS (BE100)

Module 1

Statics: Fundamental concepts and laws of mechanics – Rigid body –Principle of transmissibility of forces Coplanar force systems - Moment of a force – Principle of moments Resultant of force and couple system Equilibrium of rigid body – Free body diagram – Conditions of equilibrium in two dimensions – Two force and three force members.

Module 2

Types of supports – Problems involving point loads and uniformly distributed loads only.Force systems in space – Degrees of freedom – Free body diagram – Equations of equilibrium – Simple resultant and Equilibrium problems.

Module 3

Properties of planar surfaces – Centroid and second moment of area (Derivations not required) - Parallel and perpendicular axis theorem – Centroid and Moment of Inertia of composite area.Polar Moment of Inertia – Radius of gyration – Mass moment of inertia of cylinder and thin disc (No derivations required). Product of inertia – Principal Moment of Inertia (conceptual level).Theorems of Pappus and Guldinus.

Module 4

Friction – Characteristics of dry friction – Problems involving friction of ladder, wedges and connected bodies. Definition of work and virtual work – Principle of virtual work for a system of connection bodies – Problems on determinate beams only.

Module 5

Dynamics: Rectangular and Cylindrical co-ordinate system Combined motion of rotation and translation – Concept of instantaneous centre – Motion of connecting rod of piston and crank of a reciprocating pump. Rectilinear translation – Newton’s second law – D’Alembert’s Principle – Application to connected bodies (Problems on motion of lift only).

Module 6

Mechanical vibrations – Free and forced vibration - Degree of freedom.Simple harmonic motion – Spring-mass model – Period – Stiffness – Frequency – Simple numerical problems of single degree of freedom.

Text Book:

Shames I.H.,Engineering Mechanics,Statics and Dynamics, Pearson Prentice

Timoshenko S.& Young D.H.,Engineering Mechanics,Mc-GrawHill

References:

1. Beer and Johnson, Vector Mechanics for Engineers - Statics and Dynamics, Tata Mc-Graw Hill Publishing Company Limited

2. Hibbeler R.C., Engineering Mechanics: Statics and Dynamics. Pearson Prentice Hall

3. Benjamin J., Engineering Mechanics, Pentex Book Publishers and Distributors

4. Kumar K. L., Engineering Mechanics, Tata Mc-Graw Hill Publishing Company Limited

5. Tayal A. K., Engineering Mechanics- Statics and Dynamics, Umesh Publications

6. S.S.Bhavikkatti, Engineering Mechanics, New Age International Publishers

7. Jaget Babu, Engineering Mechanics, Pearson Prentice Hall

8. Merriam J. L. and Kraige L. G., Engineering Mechanics – Vol. I and II, John Wiley.

9. Rajasekaran S. and G. Sankarasubramanian, Engineering Mechanics, Vikas Publishing House Private Limited

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